QUESTION IMAGE
Question
y + 2 = -(x + 1)
graph of line b:
the x-intercept of line a is and the x-intercept of line b is . therefore
Step1: Find x-intercept of Line A (equation \( y + 2 = -(x + 1) \))
To find the x - intercept, set \( y = 0 \) in the equation of Line A.
Substitute \( y = 0 \) into \( y + 2 = -(x + 1) \), we get \( 0+2=-(x + 1) \).
Simplify the left - hand side: \( 2=-(x + 1) \).
Multiply both sides by - 1: \( - 2=x + 1 \).
Subtract 1 from both sides: \( x=-2 - 1=-3 \).
Step2: Find x-intercept of Line B (from the graph)
The x - intercept of a line is the x - coordinate of the point where the line crosses the x - axis (where \( y = 0 \)).
From the graph of Line B, we can see that the line crosses the x - axis at \( x = 6 \).
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The \( x \)-intercept of Line A is \(-3\) and the \( x \)-intercept of Line B is \(6\).